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Finding the Fourth Proportional to 7,675.79, 10,546.68 and 6,101.15

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Solution

The fourth proportional to 7,675.79, 10,546.68 and 6,101.15 is: 8,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.79 : 10,546.68 = 6,101.15 : x
  2. Step 2: Convert to fraction form
    7,675.79/10,546.68 = 6,101.15/x
  3. Step 3: Cross multiply
    7,675.79x = 10,546.68 × 6,101.15
  4. Step 4: Simplify right side
    7,675.79x = 64,346,823.95
  5. Step 5: Solve for x
    x = 64,346,823.95/7,675.79
  6. Step 6: Final answer
    x = 8,383.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.